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Vlada [557]
3 years ago
12

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y =

11.
Mathematics
2 answers:
Aleksandr [31]3 years ago
7 0

Answer:

y = 22/x

Step-by-step explanation:

We have given that y varies inversely with x.

y  ∝ 1/x

y = k/x where k is constant of proportionality.

We have given that x = 2 when y = 11.We have to find the value of k.

Putting values in given equation, we have

11 = k / 2

k = 11 × 2

k = 22

Putting the value of k in given equation, we have

y = 22/x which is the answer.

Sergeeva-Olga [200]3 years ago
4 0

Answer:

y = \frac{22}{x}

Step-by-step explanation:

given that y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition x = 2 when y = 11

k = yx = 11 × 2 = 22

y = \frac{22}{x} ← equation of variation

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When planning road development, the road commission estimates the future population using the function represented in the table,
Sindrei [870]

The significance of 160,000 in the function is the initial population at the time of the estimation.

The correct option is (C)

<h3>What is data?</h3>

A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

Given:

As per the table attached below:

F(x) signify the total population when the time was x hour.

So,  160,000 in the function signifies that the population at starting i.e., initial point.

Learn more about this concept here:

brainly.com/question/17112729

#SPJ1

7 0
2 years ago
Can someone explain the process getting from:
spin [16.1K]
\rm 5=e^{3b}

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

\rm log_e(5)=log_e(e^{3b})

We'll apply one of our log rules next:
\rm \log(x^y)=y\cdot\log(x)

This allows us to take the exponent out of the log,

\rm log_e(5)=(3b)log_e(e)

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
\rm log_{10}(10)=1
\rm log_5(5)=1
\rm log_e(e)=1

So our equation simplifies to this,

\rm log_e(5)=(3b)\cdot1

As a final step, divide both sides by 3,

\rm \frac13log_e(5)=b

k, hope that helps!


6 0
3 years ago
What is the square route of 6,897?
Lynna [10]

Answer: 11 square root 57

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
3^4 x 3^2 =?
zheka24 [161]

Answer:

3^4 x 3^2 = 3^6

5^16 ÷ 5^13 = 125

8 0
3 years ago
Read 2 more answers
Please help do not answer if you don't know it.
iogann1982 [59]
Area parlalelogram=base times height
areatrapizod=(1/2)(base1+base2) times height
areatriangle=1/2 times base times height



1. area=(1/2)(5.9+16.3) times 4.6=51.06
first option

2. area=1/2 times 20.3 times 6.2=62.93
2nd option

3. area=5 and 1/4 times 3=15.75 or 15 and 3/4 or
4th option


4., area=1/2 times 14 times 5.5=38.5
3rd option


5. area= 5.2 times 2.3=11.96
4th option

8 0
3 years ago
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